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Simplifying 3(2x + -7) + -2(2x + 5) = 2x + -6 Reorder the terms: 3(-7 + 2x) + -2(2x + 5) = 2x + -6 (-7 * 3 + 2x * 3) + -2(2x + 5) = 2x + -6 (-21 + 6x) + -2(2x + 5) = 2x + -6 Reorder the terms: -21 + 6x + -2(5 + 2x) = 2x + -6 -21 + 6x + (5 * -2 + 2x * -2) = 2x + -6 -21 + 6x + (-10 + -4x) = 2x + -6 Reorder the terms: -21 + -10 + 6x + -4x = 2x + -6 Combine like terms: -21 + -10 = -31 -31 + 6x + -4x = 2x + -6 Combine like terms: 6x + -4x = 2x -31 + 2x = 2x + -6 Reorder the terms: -31 + 2x = -6 + 2x Add '-2x' to each side of the equation. -31 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 0 = -6 + 2x + -2x -31 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 = -6 + 0 -31 = -6 Solving -31 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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